TY  - GEN
A1  - Roelly, Sylvie
A1  - Dai Pra, Paolo
T1  - An existence result for infinite-dimensional Brownian diffusions with non- regular and non Markovian drift
N2  - We prove in this paper an existence result for infinite-dimensional stationary interactive Brownian diffusions. The interaction is supposed to be small in the norm ||.||∞ but otherwise is very general, being possibly non-regular and non-Markovian. Our method consists in using the characterization of such diffusions as space-time Gibbs fields so that we construct them by space-time cluster expansions in the small coupling parameter.
KW  - infinite-dimensional Brownian diffusion
KW  - space-time Gibbs field
KW  - cluster expansion
Y1  - 2006
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/590
UR  - https://nbn-resolving.org/urn:nbn:de:kobv:517-opus-6684
ER  -